Continuous time domain properties of causal cubic splines

DOI10.1016/j.sigpro.2009.03.031zbMath1178.94170OpenAlexW1991100064MaRDI QIDQ1032420

D. Petrinovic

Publication date: 26 October 2009

Published in: Signal Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sigpro.2009.03.031

zbMATH Keywords

interpolationcausalitycubic splinesignal reconstructioncardinal spline functionssignal resampling

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Sampling theory in information and communication theory (94A20)

Cites Work

• Cardinal spline filters: Stability and convergence to the ideal sinc interpolator
• A practical guide to splines
• Notes on spline functions. III: On the convergence of the inter polating cardinal splines as their degree tends to infinity
• Cardinal interpolation and spline functions
• Polynomial-based interpolation filters. I: Filter synthesis
• Quantitative Fourier analysis of approximation techniques. I. Interpolators and projectors
• Complete parameterization of piecewise-polynomial interpolation kernels
• Polynomial spline signal approximations: filter design and asymptotic equivalence with Shannon's sampling theorem
• B-spline signal processing. I. Theory
• Spline Fit Made Easy
• MOMS: maximal-order interpolation of minimal support
• Efficient implementation of all-digital interpolation
• Image reconstruction by convolution with symmetrical piecewise nth-order polynomial kernels
• Causal Cubic Splines: Formulations, Interpolation Properties and Implementations
• Local spline approximation on a uniform mesh
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